Hypothesis Testing (Binomial Distribution) (AQA A-Level Mathematics): Quizzes

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Binomial Hypothesis Testing
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What is the significance level in hypothesis testing?

The threshold probability below which we reject a claim

For a left-tail test with H1:p<0.4H_1: p < 0.4, which probability do we calculate for x=2x = 2?

P(X2)P(X \leq 2)

If P(X1)=0.046P(X \leq 1) = 0.046 and significance level is 5%5\%, what do we conclude?

Reject H0H_0

Which is the correct format for stating the null hypothesis?

H0:p=0.4H_0: p = 0.4

In a two-tail test at 10%10\% significance, how much is allocated to each tail?

5%5\%

When we reject H0H_0, which phrase should we use in our conclusion?

Sufficient evidence to suggest

What is the critical region in hypothesis testing?

Range of values where H0H_0 is rejected

For a right-tail test, how do we calculate P(X5)P(X \geq 5)?

1P(X4)1 - P(X \leq 4)

If P(X1)=0.392>0.05P(X \leq 1) = 0.392 > 0.05, which statement is correct?

Do not reject H0H_0

In a two-tail test, observed =63= 63 and expected =72= 72. Which tail do we test?

Left tail (decrease)

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